On the Zeros of Polynomials Satisfying Certain Linear Second-Order ODEs Featuring Many Free Parameters

DOI10.1080/14029251.2013.805565zbMath1420.34002OpenAlexW2060970931MaRDI QIDQ5230889

Francesco Calogero

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.805565

zbMATH Keywords

zeros of polynomialsDiophantine relationslinear second-order ODE with only polynomial solutionspolynomials satisfying linear second-order ODEs

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (5)

Properties of the zeros of generalized basic hypergeometric polynomials ⋮ Properties of the zeros of the polynomials belonging to the Askey scheme ⋮ Properties of the zeros of the polynomials belonging to the \(q\)-Askey scheme ⋮ Properties of the Zeros of the Sum of two Polynomials ⋮ Equilibria of a solvable N-body problem and related properties of the N numbers x _n at which the Jacobi polynomial of order N has the same value

Cites Work

• Unnamed Item
• A linear second-order ODE with only polynomial solutions
• Can thegeneralsolution of the second-order ODE characterizing Jacobi polynomials bepolynomial?
• Algebro-geometric aspects of Heine-Stieltjes theory
• Isochronous Systems

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